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How can a torus $T^n$ acts on the projective space $\mathbb{P}^n=\mathbb{P}(\mathbb{C}^{n+1})$?

Is it possible or I'm doing a mistake because I need to consider $\mathbb{P}^{n-1}$ ?


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It can act trivially, for example... You probably have in mind something more specific that just any action. – Mariano Suárez-Alvarez Feb 29 '12 at 18:24

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